Latest TCS Aptitude Question SOLUTION: George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total

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(#M40023705) TCS Numerical Ability question Keep an EYE

George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is.

Asked In TCS NIRAJ BARNWAL (10 years ago)

Solved sandy Read Solution (11)

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Read Solution (11) :

sandy  (10 years ago)

Given that G and M can paint 720 boxes in 20 days i.e,they paint 36(720/20) boxes a day.similarly M and H can paint 30(720/24) boxes a day.similarly H and G can paint 48(720/15) boxes a day.
therefore G+M=36------1
M+H=30------2
H+G=48------3
on solving 1 and 2 we get G-H=6--------4
on solving 3 and 4 we get 2G=54 therefore G=27
on substituting G in 1 we get M=9
on substituting G in 3 we get H=21
G works for 4 days ie. 4*27=108
M works for 8 days ie. 8*9=72
H works for 8 days ie. 8*21=168
total boxes painted=108+72+168=348(ans)

Is this solution Helpfull? Yes (70) | No (1)  

ANKIT VERMA  (10 years ago)

g+m=36-----(1)
m+h=30-----(2)
h+g=48----(3)
add all three eq
m+g+h=57------(4)
4-1,4-2,4-3 gives m=9, h=21 ,g=27
(9*8)+(21*8)+(27*4)
-------> 348 ans.

Is this solution Helpfull? Yes (20) | No   

AVIJIT  (10 years ago)

G+M paint in 1 day 36 boxes
M+H paint in 1 day 30 boxes
G+H paint in 1 day 15 boxes

equating this three equation we can get easily G=27,M=9,H=21
so george,mark and harry can paint in 1 day 27,9 and 21 boxes resp..
so the total boxes they painted =27*4+9*8+21*8=348

Is this solution Helpfull? Yes (14) | No (1)  

anamika  (10 years ago)

Capacity of G + M = 720 / 20 = 36
M + H = 720 / 24 = 30
H + G = 720 / 15 = 48
Combined capacity = 2 (G + H + M) = 114
G + H + M = 114 / 2 = 57
Now capacity of G = (G+H+M) - (H + M) = 57 - 30 = 27
M = (G+H+M) - (H + G) = 57 - 48 = 9
H = (G+H+M) - (G + M) = 57 - 36 = 21

Given that G worked for 4 days, and mark for 8 and harry for 8 days
So total work by them = 4 x 27 + 8 x 9 + 8 x 21 = 348

Is this solution Helpfull? Yes (13) | No   

tejaswi vadali  (9 years ago)

can anyone suggest how to prepare for tcs off campus which is on 2nd march

Is this solution Helpfull? Yes (6) | No   

prarit jain  (10 years ago)

my ans is 1200 is it correct ??

Is this solution Helpfull? Yes (1) | No (25)  

mina shivaji mundhe  (10 years ago)

my ans is 236
is it correct?

Is this solution Helpfull? Yes (1) | No (21)  

Krati Dwivedi  (8 years ago)

george and mark can paint 720 boxes in 20 days
so,in one day they can paint =720/20=36 (i)
similarly mark and harry can paint in=720/24=30 (ii)
harry and george can paint in=720/15=48 (iii)
(i)+(ii)+(iii)=2(george+mark+harry)=114
george+mark+harry=57
s0 mark i day work=9,george one day work=27,harry one day work=21
george 4 day work=27*4=108 mark 8 day work=9*8=72,harry 8 day work=21*8=168
total work=108+72+168=348

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Susil Pal  (8 years ago)

Capacities of these people as followes
G + M = 720/20 = 36
M + H = 720/24 = 30
H + G = 720/15 = 48
Adding all above we get 2(G + M + H ) = 114 ⇒ G + M + H = 114/2 = 57
Now individual capacities are given below
G = 27 ; M = 9; H = 21
So 27 × 4 + 9 × 8 + 21 × 8 = 348

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Subhadip Das  (5 years ago)

Capacities of these people as followes
G + M = 720/20 = 36
M + H = 720/24 = 30
H + G = 720/15 = 48
Adding all above we get 2(G + M + H ) = 114 ⇒ G + M + H = 114/2 = 57
1st 4days all worked 57*4=228
last 4 days m & h = 30*4=120; 228+120=348

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RM ARUNACHALAM  (4 years ago)

Capacities of these people as followes
G + M = 720/20 = 36
M + H = 720/24 = 30
H + G = 720/15 = 48
Adding all above we get 2(G + M + H ) = 114 => G + M + H = 114/2 = 57
Now individual capacities are given below
G = 27 ; M = 9; H = 21
So 27 * 4 + 9 * 8 + 21 * 8 = 348

Is this solution Helpfull? Yes | No   

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